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A263887 Number of permutations of [n] containing exactly three occurrences of the consecutive pattern 132. 2
15, 576, 13572, 259968, 4532034, 75929856, 1259571660, 21052915200, 358291184565, 6248298977280, 112089186363960, 2073140406374400, 39582481045276260, 780630651563728896, 15904712294529556680, 334724021030855393280, 7274246960518735730715 (list; graph; refs; listen; history; text; internal format)
OFFSET
7,1
LINKS
FORMULA
a(n) = A197365(n,3).
EXAMPLE
a(7) = 15: 1325476, 1326475, 1327465, 1425376, 1426375, 1427365, 1524376, 1526374, 1527364, 1624375, 1625374, 1627354, 1724365, 1725364, 1726354.
a(8) = 576: 12436587, 12437586, 12438576, ..., 81724365, 81725364, 81726354.
a(9) = 13572: 123547698, 123548697, 123549687, ..., 981724365, 981725364, 981726354.
MAPLE
b:= proc(u, o, t) option remember; series(`if`(u+o=0, 1,
add(b(u-j, o+j-1, 0)*`if`(j<=t, x, 1), j=1..u)+
add(b(u+j-1, o-j, j-1), j=1..o)), x, 4)
end:
a:= n-> coeff(b(n, 0$2), x, 3):
seq(a(n), n=7..30);
CROSSREFS
Column k=3 of A197365.
Sequence in context: A329122 A027534 A001236 * A183546 A179895 A343074
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Oct 28 2015
STATUS
approved

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Last modified February 26 04:47 EST 2024. Contains 370335 sequences. (Running on oeis4.)